Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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find the midpoint of the segment with the following endpoints. (5, 7) a…
$(1,8.5)$
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a circle has the equation (x^{2}+y^{2}+2x - 8y-19 = 0). (a) find the ce…
(a) Center \((-1,4)\), radius \(r = 6\) (b) To graph the circle, plot the center \((-1,4)\) and then use the radius of \(6\) units to draw the circle around the center. (c) \(x\) …
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3 from unit 1, lesson 5 this diagram is a straightedge and compass cons…
3. Steps of angle - bisector construction: 1. With compass at \(A\), draw an arc intersecting the sides of \(\angle BAC\) at \(B\) and \(C\). 2. With compass at \(B\), draw an arc…
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∠1 and ∠2 are vertical angles. if m∠1=(17x + 1)° and m∠2=(20x - 14)°, f…
$86^{\circ}$
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kevin wants to buy new carpet for his living - room floor. the floor is…
$1782$
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lesson 6 8 problems practice problems 1 which of the following construc…
1. C 2. B, C, D
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elsa is staining the wooden floor of a court. the court is in the shape…
16
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find the distance between the points (-2, 0) and (1, -10). write your a…
$\sqrt{109}$
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a circle has the equation x² + y²+2x - 8y - 19 = 0. (a) find the center…
(a) Center \((-1,4)\), radius \(r = 6\) (b) For graphing, use the center \((-1,4)\) and radius \(r = 6\) to draw the circle. (c) \(x\) - intercepts: \((-1 + 2\sqrt{5},0),(-1-2\sqr…
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find the distance between the points (5, 4) and (5, 7). distance:
3
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find the distance between the points (3, 9) and (4, 5). write your answ…
$\sqrt{17}$
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find the distance between the points (-4, -3) and (5, -3). distance:
9
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∠1 and ∠2 form a linear - pair. if m∠1=(5x + 9)° and m∠2=(3x + 11)°, fi…
\(m\angle1 = 109^{\circ}\), \(m\angle2 = 71^{\circ}\)
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5. if the measure of an angle is 38°, find the measure of its complemen…
\(52^{\circ}\)
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in the figure below, m∠abd = 82°, m∠cbd = 56°, and (overline{be}) bisec…
$54$
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a circle has the equation x² + y²+2x - 8y - 19 = 0. (a) find the center…
(a) The center of the circle is $(-1,4)$ (b) To graph: Plot the center $(-1,4)$ and draw a circle with radius $r = 6$. (c) x - intercepts: $x=-1 + 2\sqrt{5},x=-1 - 2\sqrt{5}$; y -…
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find the length of each segment. #9: if ab = 8 and bc = 24, then ac = _…
#9: 32 #10: 51
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in the figure below, (mangle nkm = 26^{circ}), (overline{kl}) bisects (…
$52$
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4. if the measure of an angle is 13°, find the measure of its supplemen…
\(167^{\circ}\)
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15 multiple choice 1 point what criteria can be used to prove these two…
C. AAS
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14 multiple choice 1 point what criteria can you use to show these two …
C. AAS
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in the figure below, m∠abd = 96°, m∠ebd = 27°, and be bisects ∠cbd. fin…
$42$
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a circle has the equation x² + y²+4x - 2y - 4 = 0. (a) find the center …
(a) Center: $(-2,1)$, Radius: $3$ (b) Graph the circle with center $(-2,1)$ and radius $3$ (using a graphing tool as instructed in the problem - this step is more visual and not s…
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8. the width of a rectangle garden is 5 feet less than its length. if t…
Equation: $50=2(l+(l - 5))$ Length: $15$ ft Width: $10$ ft
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13 multiple choice 1 point what criteria can be used to prove these two…
D. HL
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(b) let x be the length of the hypotenuse. use the triangle you drew an…
Without given values for the legs of the right - triangle in the problem, we can't provide a definite answer. If the legs are \(6\) and \(8\), then: For part (c): \(x = 10\) For p…
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what is the mid - point of the points (8, - 4) and (2, - 7)?
$(5,-5.5)$
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use the figure to complete each part. (a) name the vertex of ∠sqr. (b) …
(a) $Q$ (b) $\overrightarrow{QR}$, $\overrightarrow{QS}$ (c) $\angle TQR$, $\angle RQT$
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proportion word problems answer each question and round your answer to …
1. 5 2. 2 3. 3 4. 3 5. 4 6. 18 7. 8 8. 16 9. 10 10. 33
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15. if r is the mid - point of $overline{qs}$, $rs = 2x - 4$, $st = 4x …
80
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find the perimeter of the rectangle. include the unit. 21 cm 28 cm
98 cm
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a circle has the equation x² + y² + 4x - 2y - 4 = 0. (a) find the cente…
(a) Center: $(-2,1)$; Radius: $3$ (b) To graph the circle, plot the center $(-2,1)$ and then use the radius of $3$ to draw the circle. (c) $x$ - intercepts: $x=-2 + 2\sqrt{2}\appr…
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12 true or false 1 point when an object is rotated around a point, the …
True
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use the figure to complete each part. (a) write two other names for ∠ef…
(a) $\angle HFE$, $\angle 2$ (b) $F$ (c) $\overrightarrow{FG}$, $\overrightarrow{FE}$
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the midpoint of $overline{ab}$ is $m=(6,4)$. one endpoint is $a=(8,6)$.…
\((4,2)\)
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4 true or false 1 point under the translation (x + 3, y - 1) the point …
False
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find the perimeter of the square. include the unit. 11 m
44 m
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find the perimeter of the square. include the unit. 22 yd explanation t…
88 yd
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11 true or false 1 point if point (x, y) is rotated 270 degrees about t…
True
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calculate the distance between the points k=(8, 0) and j=(5, - 4) in th…
$5$
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find the area of the rectangle 7 ft 40 ft square feet
280
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10 multiple choice 1 point △ abc has been rotated ______ counter - cloc…
90 degrees
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14. if ef bisects cd, cg = 5x - 1, gd = 7x - 13, ef = 6x - 4, and gf = …
$19$
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find the slope m of the line through the following pair of points and d…
$-\frac{1}{2}$
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a circle has the equation x² + y²+4x - 2y - 4 = 0. (a) find the center …
(a) Center: \((-2,1)\) Radius: \(3\) (c) \(x\) - intercepts: \(x=-2 + 2\sqrt{2}\approx0.83\) and \(x=-2-2\sqrt{2}\approx - 4.83\) \(y\) - intercepts: \(y=1+\sqrt{5}\approx3.24\) a…
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calculate the distance between the points g = (-8, 9) and c = (-1, 1) i…
$\sqrt{113}$
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9 multiple choice 1 point △abc has been rotated ______ counter - clockw…
180 degrees
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find the area of the rectangle. 23 in 9 in
207 in²
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multiple choice 1 point if the pentagon below is to be reflected over t…
Point G
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find the area of the rectangle. 8 m 17 m square meters
136
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multiple choice 1 point if the pentagon below is to be reflected over t…
None of the points would not move.
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13. if b is the mid - point of ac, and ac = 8x - 20, find bc.
26
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multiple choice 1 point if the pentagon below is to be reflected over t…
$G'(0,-4),H'(2,-3),J'(2,2),K'(-2,2),L'(-2,-3)$
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12. if r is the mid - point of qs, find qs. q 5x - 3 r 21 - x s
34
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6 multiple choice 1 point which point is a reflection of point h over t…
Point G
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two checkpoints, a and b, in an orienteering course are 5 km apart. ano…
$2.61$ km
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4 true or false 1 point under the translation (x + 3, y - 1) the point …
False
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word bank revive survivor vivid vivacious mortal immortal mortified mor…
Across - 4: morbid Across - 6: vivid Across - 7: immortal Across - 8: survivor Down - 1: revive Down - 3: vivacious Down - 5: mortal
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triangle def is right angled at f. angle def = 36\\circ and df = 15\\te…
D. $\frac{15}{\cos54^{\circ}}$
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find the area of each triangle.
a. 18 sq. units b. 12 sq. units
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3 true or false 1 point under the translation (x - 2, y + 3) the point …
False
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3.3b hw honors rotate the figure 90° clockwise around (-5, -4). a(-13, …
$A'(-4,4),B'(2,-2),C'(-3,-3)$
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multiple choice 1 point 2. assign is being created using two trapezoids…
F(1,4)
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across 4. the works of edgar allan poe are gothic, which often is about…
1. save someone 2. embarrassed 3. (No specific single - word answer required for description) 4. dark 5. mortals 6. beautiful 7. immortal 8. author
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rotate the figure 270° around (-1, 3). a(2, 1) b(5, 1) c(8, -4)
A'$(-3,0)$, B'$(-3,-3)$, C'$(-8,-6)$
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true or false 1 point under the translation (x + 1, y - 5) the point (-…
True
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chapter 2. exercises vii. solve it! directions: use the clues and words…
Across: 4. morbid 6. vivid 7. immortal 8. survivor Down: 1. revive 2. mortified 3. vivacious 5. mortal Unscrambled word: mortician
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3.3b hw honors rotate the figure 90° clockwise around (-1, -4). p(0, -6…
$P(-3,-5)$, $Q(-1,-10)$, $R(-4,-9)$
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11. if g is the mid - point of fh, find fg. f 11x - 7 g 3x + 9 h
15
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4) 2\frac{2}{3} yd 1\frac{4}{5} yd 5) 8 in \frac{15}{2} in area = 6) \f…
4) $4\frac{4}{5}$ square yards 5) 60 square inches 6) 28 square feet
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rotate the figure 90° clockwise around (-5, -4). a(-13, -3) b(-7, 3) c(…
A'(-4,4), B'(2,-2), C'(-3,-3)
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3.3b hw honors rotate the figure 270° around (-1, 3). a(2, 1) b(5, 1) c…
$A'(-3,0)$ $B'(-3,-3)$ $C'(-8,-6)$
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rotate the figure 90° clockwise around (-1, -4). p(0, -6) q(5, -4) r(4,…
$P'(-3,-5)$ $Q'(-1,-10)$ $R'(-4,-9)$
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16 multiple choice 1 point which angle is congruent to angle p? angle o…
C. Angle D
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3. finally, calculate the surface area of the entire prism. show all of…
The number of small cubes with paint on at least one face is \(lwh-(l - 2)(w - 2)(h - 2)\) (assuming \(l\geq2\), \(w\geq2\), \(h\geq2\)). The surface area of the prism is \(2(lw +…
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rotate the figure 270° around (-5, -4). k(-13, -3) l(-7, 3) m(-6, -2)
\(K'(-4,4)\) \(L'(2,-2)\) \(M'(-3,-3)\)
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15 multiple choice 1 point what criteria can be used to prove these two…
B. HL
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two checkpoints, a and b, in an orienteering course are 5 km apart. ano…
\(2.61\) km
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rotate the figure 270° around (-5, -4). k(-13, -3) l(-7, 3) m(-6, -2)
$K'(-4,4)$ $L'(2,-2)$ $M'(-3,-3)$
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rotate the figure 90° clockwise around (-5, -4). a(-13, -3) b(-7, 3) c(…
A' (-4, 4) B' (2, -2) C' (-3, -3)
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10. if t is the mid - point of su, find x. s 8x + 11 t 12x - 1 u
$x = 3$
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14 multiple choice 1 point what criteria can be used to prove these two…
A. HL
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13 multiple choice 1 point which congruency statement is correct? △mop≅…
\(\triangle MOP\cong\triangle DBA\) (corresponding to the first option in the multiple - choice list)
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rotate the figure 90° around (-1, 2). k(-5, 5) l(-2, 4) m(-4, 1)
$K'(-4,-2)$ $L'(-3,1)$ $M'(0,-1)$
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16. démontrer que la figure représentée ci - dessous est un parallélogr…
La figure est un parallélogramme car les côtés opposés ont la même pente.
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12 multiple choice 1 point △abc has been rotated ______ counter - clock…
90 degrees
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rotate the figure 270° around (-1, 3). a(2, 1) b(5, 1) c(8, -4)
A'(-3,0) B'(-3,-3) C'(-8,-6)
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6. two rectangles have equal widths. the width of rectangle a is 8 unit…
A. \(x + 8 = 2x - 4\)
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11 true or false 1 point when an object is rotated around a point, the …
True
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4. here is a visual pattern. problems 5 - 6. this table shows the numbe…
a. Figure 4 will be a rectangular arrangement of 24 tiles, with 4 rows and 6 columns (or 6 rows and 4 columns). b. 24 5. Yes. The number of tiles in the \(n\)th figure follows the…
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rotate the figure 270° clockwise around (6, 8). d(1, 4) e(5, 5) f(4, 1)
$D'(2,13)$ $E'(3,9)$ $F'(-1,10)$
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10 true or false 1 point if point (x, y) is rotated 90 degrees about th…
False
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rotate the figure 270° clockwise around (4, 1). a(6, 8) b(10, 9) c(9, 3)
$A'(11,-1)$ $B'(12,-5)$ $C'(6,-4)$
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9 multiple choice 1 point △ abc has been rotated ______ counter - clock…
180 degrees
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find the area of the right triangle. area = □ square units
8
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8 multiple choice 1 point point o is a reflection of point n over what …
y = x
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find the x - intercept and the y - intercept of the line below. click o…
(a) x - intercept: -1 (b) y - intercept: -2
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7 true or false 1 point if point (x, y) is reflected over the y - axis,…
True
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multiple choice 1 point the triangle has been reflected over the line. …
$x = 1$ $y = 11$ $z = 4$
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unit 1 lesson 3: adding & subtracting integers - homework learning targ…
# Explicación: ## Paso 1: Resolver (-7)+(8) Comenzamos en - 7 en la recta numérica y avanzamos 8 unidades hacia la derecha. $-7 + 8=1$ ## Paso 2: Resolver 9+(-6)-7 Primero, 9+(-6)…